Petros Valettas
Associate Professor
Associate Professor
University of Missouri
Mathematics Department
303 Mathematical Sciences Building
Columbia, MO 65211
E-mail: valettasp@missouri.edu
Asymptotic Convex Geometry
Geometric Functional Analysis
High-Dimensional Probability
Probabilistic Methods in Analysis and Geometry
Current Teaching at MU.
CMP_SC 8001/MATH 8202: High-Dimensional Probability (Fall 2025)
Past Teaching at MU.
CMP_SC 8001/MATH 8702: Analysis of Boolean Functions (Fall 2024)
CMP_SC 8001/MATH 8202: High-Dimensional Probability (Fall 2020, 2022)
CMP_SC 7001/MATH 7960: Probability and Computing (Fall 2019, Spring 2021, 2022)
MATH 8480: Advanced Probability (Spring 2023, 2024, 2025)
MATH 4700/7700: Advanced Calculus I (Fall 2019, Spring 2021, 2025)
MATH 4140/7140: Matrix Theory (Summer 2018)
MATH 4100/7100: Differential Equations (Spring 2018, Fall 2023)
MATH 2320: Discrete Mathematical Structures (Spring 2019, Fall 2019, 2020, 2024)
MATH 2300H: Honors Calculus III (Fall 2021)
MATH 1700: Calculus II (Spring 2022, 2023)
MATH 1500H: Honors Calculus I (Fall 2022)
Past Teaching at Texas A&M.
Mathematical Probability
Topics in Applied Mathematics
Linear Algebra
Calculus I and III
Lecture Notes.
Real Analysis: Metric Spaces, University of Athens (2009). pdf
On the existence of subgaussian directions for log-concave measures (with A. Giannopoulos and G. Paouris), Contemporary Mathematics 545 (2011), 103-122.
Psi(α)-estimates for marginals of log-concave probability measures (with A. Giannopoulos and G. Paouris), Proceedings of the American Mathematical Society 140, no. 4 (2012), 1297-1308.
On the distribution of Psi(2)-norm of linear functionals on isotropic convex bodies (with A. Giannopoulos and G. Paouris), Geometric Aspects of Functional Analysis, Lecture Notes in Mathematics 2050 (2012), 227-253.
Distances between classical positions of centrally symmetric convex bodies (with E. Markessinis), Houston Journal of Mathematics 41 (2015), 187-211.
On the geometry of log-concave probability measures with bounded log-Sobolev constant (with P. Stavrakakis), Proceedings of the Asymptotic Geometric Analysis Programme, Fields Institute Communications 68 (2013), 359-380.
Neighborhoods on the Grassmannian of marginals with bounded isotropic constant (with G. Paouris), Journal of Functional Analysis 267 (2014), 3427-3443.
Random version of Dvoretzky’s theorem in ell_p^n (with G. Paouris and J. Zinn), Stochastic Processes and their Applications 127, Issue 10 (2017), 3187-3227.
On Dvoretzky’s theorem for subspaces of L_p (with G. Paouris), Journal of Functional Analysis 275, Issue 8 (2018), 2225-2252.
Inequalities for the surface area of projections of convex bodies (with A. Giannopoulos and A. Koldobsky), Canadian Journal of Mathematics 70 (2018), 804-823.
A Gaussian small deviation inequality for convex functions (with G. Paouris), Annals of Probability 46, no. 3 (2018), 1441-1454.
On a quantitative reversal of Alexandrov’s inequality (with G. Paouris and P. Pivovarov), Transactions of the American Mathematical Society 371, no. 5, (2019), 3309-3324.
Variance estimates and almost Euclidean structure (with G. Paouris), Advances in Geometry 19, Issue 2, (2019), 165-189.
On the tightness of Gaussian concentration for convex functions, Journal d' Analyse Mathématique 139, Issue 1 (2019), 341-367.
Dichotomies, structure, and concentration in normed spaces (with G. Paouris), Advances in Mathematics 332 (2018), 438-464.
Gaussian convex bodies: a non-asymptotic approach (with G. Paouris and P. Pivovarov), Zapiski Nauchnych Seminarov POMI 457 (2017), 286-316.
Hypercontractivity and lower deviation estimates in normed spaces (with G. Paouris and K. Tikhomirov), Annals of Probability 50, no. 2 (2022), 688-734. pdf
Concentration estimates for functions of finite high-dimensional random arrays (with P. Dodos and K. Tyros), Random Structures & Algorithms 63, Issue 4 (2023), 997-1053. pdf
Decompositions of finite high-dimensional random arrays (with P. Dodos and K. Tyros), Fundamenta Mathematicae 268 (2025), 101-150. pdf
Approximate Real Symmetric Tensor Rank (with A. Ergür and J. Rebollo-Bueno), Arnold Mathematical Journal 9 (2023), 455-480. pdf
On the clustering of Padé zeros and poles of random power series (with S. Dostoglou), International Mathematics Research Notices (to appear). pdf
Geometry of isotropic convex bodies (with S. Brazitikos, A. Giannopoulos and B-H. Vritsiou) Mathematical Surveys and Monographs 196, Amer. Math. Soc. (2014) AMS